Can you me with this high school problems? About projectile motion

AI Thread Summary
The discussion focuses on a student's attempt to solve a projectile motion problem involving the calculation of velocity and acceleration. The student calculated horizontal and vertical components of velocity, resulting in a total velocity of approximately 10.88 m/s and an acceleration of 1.28 m/s². There is confusion regarding the direction of the bird's acceleration, which the student calculated as 85° south of east, raising questions about the bird's flight direction. The student seeks confirmation on the correctness of their calculations and whether significant digits were handled properly. The conversation emphasizes the importance of understanding vector components and their implications in projectile motion problems.
lanvin
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Homework Statement



I just did this question, and I just want to make sure I did it right... Can u run through it and notify me of any errors?


Homework Equations



Here is the question:
http://i299.photobucket.com/albums/mm286/lanvin12/333-1.jpg

The Attempt at a Solution



this is what I did...

V(x) = V(bx) - V(ax) = [ (4.4m/s) sin 31° ] - [ (7.8m/s) sin 25° ] = 1.030262m/s

V(y) = V(by) + V(ay) = [ (4.4m/s) cos 31° ] - [ (7.8m/s) cos 25° ] = 10.840736 m/s

V² = V(x)² + V(y)² = 10.8² + 1.03² + 118.5
V = √118.5 = 10.88

A = V / t = 10.88 / 8.55 = 1.28m/s²


tan theta = 10.84 / 1.030 = 10522
theta = tan^(-1) 10.52230 = 84.57°

therefore, the bird's acceleration was 1.3 m/s² [85° S of E]

is that right? Was I supposed to use TOA? Significant digits ok?
Any mistakes...?
 
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I don't think it is right that the average acceleration is 85o S of E. If that is the case, wouldn't the bird be flying south now?
 
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